Important Questions of Introduction To Three Dimensional Geometry Mathematics | Zigya

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 Multiple Choice QuestionsMatch The Following

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81.

Match the following columns.
       
A The centroid of the triangle formed by (2, 3, - 1), (5, 6, 3), (2, -3 ,1) is p (2, 2, 2)
B The circumcentre of the triangle formed by (1,2, 3) (2, 3, 1), (3, 1, 2) is q (3, 1, 4)
C The orthocentre of the triangle formed by (2, 1, 5), (3, 2, 3), (4, 0, 4) is r (1, 1, 0)
D The incentre of the triangle formed by (0, 0, 0), (3, 0, 0), (4, 0, 4) is  s (3, 2, 1)
E The incentre of the triangle formed by (0, 0, 0), (3, 0, 0), (4, 0, 4) is t (0, 0, 0)

 

A. A B C D (i) s p q r
B. A B C D (ii) p q r s
C. A B C D (iii) s r q r
D. A B C D (iv) s p t r

 Multiple Choice QuestionsMultiple Choice Questions

82.

A triangle ABC lying in the first quadrant has two vertices as A(1, 2) and B(3, 1). If BAC = 90°, and ar(ABC) = 55sq. units, then the abscissa of the vertex C is :

  • 1 + 5

  • 2 + 5

  • 1 + 25

  • 25 - 1


83.

If the point P on the curve, 4x2 + 5y2 = 20 is farthest from the point Q(0, – 4), then PQ2 is equal to :

  • 29

  • 48

  • 21

  • 36


 Multiple Choice QuestionsShort Answer Type

84.

Let AD and BC be two vertical poles at A and B respectively on a horizontal ground. If AD = 8 m, BC = 11 m and AB = 10 m; then the distance (in meters) of a point M on AB from the point A such that MD2 + MC2 is minimums is ___


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 Multiple Choice QuestionsMultiple Choice Questions

85.

The point dividing the join of (3, - 2, 1) and( - 2, 3 11) in the ratio 2 : 3 is

  • (1, 1, 4)

  • (1, 0, 5)

  • (2, 3, 5)

  • (0, 6, - 1)


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